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Rescaling limits in non-Archimedean dynamics

Volume 185 / 2018

Hongming Nie Acta Arithmetica 185 (2018), 315-331 MSC: Primary 37P45, 37P50. DOI: 10.4064/aa170601-22-1 Published online: 7 September 2018

Abstract

Suppose $\{f_t\}$ is an analytic one-parameter family of rational maps defined over a non-Archimedean field $K$. We prove a finiteness theorem for the set of rescalings for $\{f_t\}$. This complements results of J. Kiwi.

Authors

  • Hongming NieDepartment of Mathematics
    Indiana University
    831 East Third Street
    Bloomington, IN 47405, U.S.A.
    e-mail

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